Results 11 to 20 of about 8,051 (256)

A novel color images security-based on SPN over the residue classes of quaternion integers $$\:\varvec{H}{\left(\mathbb{Z}\right)}_{\varvec{\pi\:}}$$ [PDF]

Scientific Reports
The exponential growth of multimedia data transmission has intensified the demand for advanced image encryption systems capable of resisting contemporary cryptanalytic attacks while maintaining computational efficiency.
Muhammad Sajjad, Nawaf A. Alqwaifly
doaj   +2 more sources

Residue Number System Arithmetic Assisted Coded Frequency-Hopped OFDMA

EURASIP Journal on Wireless Communications and Networking, 2009
We propose an RNS arithmetic-based FH pattern design approach that is well suited and easy to implement for practical OFDMA systems. The proposed FH scheme guarantees orthogonality among intracell users while randomizing the intercell interferences and ...
Zhu Dalin, Natarajan Balasubramaniam
doaj   +2 more sources

FIR Filter Implementation Based on the RNS with Diminished-1 Encoded Channel

International Journal of Advances in Telecommunications, Electrotechnics, Signals and Systems, 2013
A technique, based on the residue number system (RNS) with diminished-1 encoded channel, has being used for implementing a finite impulse response (FIR) digital filter.
Dragana Uros Zivaljevic, Negovan Stamenković, Vidosav Stojanović   +2 more
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Quadratic residues and non-residues in arithmetic progression [PDF]

Journal of Number Theory, 2013
Let S be an infinite set of non-empty, finite subsets of the nonnegative integers. If p is an odd prime, let c(p) denote the cardinality of the set {T {\in} S : T {\subseteq} {1,...,p-1} and T is a set of quadratic residues (respectively, non-residues) of p}.
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Quantifying residual finiteness of arithmetic groups [PDF]

Compositio Mathematica, 2012
Abstract The normal residual finiteness growth of a group quantifies how well approximated the group is by its finite quotients. We show that any S -arithmetic subgroup of a higher rank Chevalley group G has normal residual finiteness ...
Bou-Rabee, Khalid, Kaletha, Tasho
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Analysis of algorithms performing basic arithmetic operations in the quadratic RNS

Наука. Инновации. Технологии, 2022
In this paper we explore the question of representing complex numbers in a residue number system and build algorithms for the operations of addition and multiplication. The idea of the construction of such systems is in determining how the set of complex
Lyudmila Borisovna Kopytkova
doaj  

Model of nonconventional encryption algorithm based on nested Feistel network

Open Engineering, 2016
The purpose of research - studying the possibilities of practical application of the encryption algorithm based on nonpositional polynomial notations using nested Feistel network.
Nyssanbayeva Saule, Kalimoldayev Maksat, Magzom Miras   +2 more
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Fibonacci, tribonacci, …, hexanacci and parallel “error-free” machine arithmetic [PDF]

Компьютерная оптика, 2019
The paper proposes a new method of synthesis of machine arithmetic systems for “error-free” parallel computations. The difference of the proposed approach from calculations in traditional Residue Number Systems (RNS) for the direct sum of rings is the ...
Vladimir Chernov
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A residue arithmetic implementation of the FFT

Journal of Parallel and Distributed Computing, 1987
Abstract Recently, a new method of performing complex arithmetic in a residue arithmetic number system was reported. This paper extends these techniques into several application areas including the design of an FFT system. In addition, a new single-modulus complex residue number system (RNS) and sign management system is developed for use as a basic ...
Department of Electrical Engineering, College of Engineering, University of Florida, Gainesville, Florida 32611, USA ( host institution ), Taylor, Fred J. ( author )   +1 more
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Arithmetic Means for a Class of Functions and the Modified Bessel Functions of the First Kind

Mathematics, 2019
In the paper, by virtue of the residue theorem in the theory of complex functions, the authors establish several identities between arithmetic means for a class of functions and the modified Bessel functions of the first kind, present several identities ...
Feng Qi, Shao-Wen Yao, Bai-Ni Guo
doaj   +1 more source